A study of an automorphism on the logistic maps over prime fields

Takeru Miyazaki, Shunsuke Araki, Satoshi Uehara, Yasuyuki Nogami

Research output: Chapter in Book/Report/Conference proceedingConference contribution

5 Citations (Scopus)

Abstract

In this paper, we propose a logistic map over prime fields, which is one way to implement the logistic map over real domain into a computer. We describe a definition and some properties for the logistic map over prime fields, and prove an automorphism between two maps with different control values. We also discuss both advantages and disadvantages of the existence for the automorphism, and an aptitude for the map used by the pseudorandom number generators.

Original languageEnglish
Title of host publicationProceedings of 2014 International Symposium on Information Theory and Its Applications, ISITA 2014
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages714-718
Number of pages5
ISBN (Print)9784885522925
Publication statusPublished - Dec 8 2014
Event2014 International Symposium on Information Theory and Its Applications, ISITA 2014 - Melbourne, Australia
Duration: Oct 26 2014Oct 29 2014

Other

Other2014 International Symposium on Information Theory and Its Applications, ISITA 2014
CountryAustralia
CityMelbourne
Period10/26/1410/29/14

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Logistics

ASJC Scopus subject areas

  • Computer Science Applications
  • Information Systems

Cite this

Miyazaki, T., Araki, S., Uehara, S., & Nogami, Y. (2014). A study of an automorphism on the logistic maps over prime fields. In Proceedings of 2014 International Symposium on Information Theory and Its Applications, ISITA 2014 (pp. 714-718). [6979937] Institute of Electrical and Electronics Engineers Inc..

A study of an automorphism on the logistic maps over prime fields. / Miyazaki, Takeru; Araki, Shunsuke; Uehara, Satoshi; Nogami, Yasuyuki.

Proceedings of 2014 International Symposium on Information Theory and Its Applications, ISITA 2014. Institute of Electrical and Electronics Engineers Inc., 2014. p. 714-718 6979937.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Miyazaki, T, Araki, S, Uehara, S & Nogami, Y 2014, A study of an automorphism on the logistic maps over prime fields. in Proceedings of 2014 International Symposium on Information Theory and Its Applications, ISITA 2014., 6979937, Institute of Electrical and Electronics Engineers Inc., pp. 714-718, 2014 International Symposium on Information Theory and Its Applications, ISITA 2014, Melbourne, Australia, 10/26/14.
Miyazaki T, Araki S, Uehara S, Nogami Y. A study of an automorphism on the logistic maps over prime fields. In Proceedings of 2014 International Symposium on Information Theory and Its Applications, ISITA 2014. Institute of Electrical and Electronics Engineers Inc. 2014. p. 714-718. 6979937
Miyazaki, Takeru ; Araki, Shunsuke ; Uehara, Satoshi ; Nogami, Yasuyuki. / A study of an automorphism on the logistic maps over prime fields. Proceedings of 2014 International Symposium on Information Theory and Its Applications, ISITA 2014. Institute of Electrical and Electronics Engineers Inc., 2014. pp. 714-718
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